(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

How many terms of the series

∞

Ʃ (-1)^{n}/(ln(n+1))

n=1

are needed in order to estimate the exact sum within .01

2. Relevant equations

I know that I need to use the remainder estimate for the integral test where R_{n}=s-s_{n}

and that ∫ from (n+1) to ∞ of f(x)dx [itex]\leq[/itex] R_{n}[itex]\leq[/itex] ∫ from (n) to ∞ of f(x)dx

3. The attempt at a solution

I tried to take the integral but I don't know how, and I cant figure out another way to approach the problem

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# Homework Help: How many terms of the series are needed in order to estimate the exact sum within .01

**Physics Forums | Science Articles, Homework Help, Discussion**